Bifurcation and multiplicity results for critical p-Laplacian problems

preprint2014arXivOpen access

Abstract

We prove a bifurcation and multiplicity result that is independent of the dimension N for a critical p-Laplacian problem that is the analog of the Brezis-Nirenberg problem for the quasilinear case. This extends a result in the literature for the semilinear case.

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